Recent Developments in the Theory of Tunneling
Hideaki Aoyama, Toshiyuki Harano, Hisashi Kikuchi, Ikuo Okouchi,, Masatoshi Sato, Shinya Wada
TL;DR
This paper reviews recent theoretical advances in quantum tunneling, focusing on path-integral methods, the proper valley technique, complex time formalism, and asymptotic analysis for perturbation theory.
Contribution
It provides a comprehensive overview of new developments in tunneling theory, including the proper valley method and complex time approaches.
Findings
Introduction of the proper valley method in imaginary time
Application of complex time formalism to quantum systems
Asymptotic theory for large order analysis of perturbation series
Abstract
Path-integral approach in imaginary and complex time has been proven successful in treating the tunneling phenomena in quantum mechanics and quantum field theories. Latest developments in this field, the proper valley method in imaginary time, its application to various quantum systems, complex time formalism, asympton theory for the large order analysis of the perturbation theory, are reviewed in a self-contained manner.
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